Well-balanced schemes versus fractional step method for hyperbolic system with source terms

DOI10.1007/s10092-006-0123-7zbMath1117.65120OpenAlexW2009034386MaRDI QIDQ876740

Jean-Marc Hérard, Alain-Yves Le Roux, Olivier Hurisse, Thierry Gallouet

Publication date: 26 April 2007

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-006-0123-7

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (2)

Transient \(L^1\) error estimates for well-balanced schemes on non-resonant scalar balance laws ⋮ Unnamed Item

Cites Work

• On Godunov-type methods near low densities
• Coupling two- and one-dimensional unsteady Euler equations through a thin interface
• On the symmetric form of systems of conservation laws with entropy
• A well-balanced flux-vector splitting scheme designed for hyperbolic systems of conservation laws with source terms
• A sequel to a rough Godunov scheme: Application to real gases
• Numerical approximation of hyperbolic systems of conservation laws
• Some approximate Godunov schemes to compute shallow-water equations with topography.
• On the use of symmetrizing variables for vacuums
• A steady-state capturing method for hyperbolic systems with geometrical source terms
• Some recent finite volume schemes to compute Euler equations using real gas EOS
• A WELL-BALANCED SCHEME USING NON-CONSERVATIVE PRODUCTS DESIGNED FOR HYPERBOLIC SYSTEMS OF CONSERVATION LAWS WITH SOURCE TERMS
• A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
• NUMERICAL MODELING OF TWO-PHASE FLOWS USING THE TWO-FLUID TWO-PRESSURE APPROACH
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